Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
274 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 63 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #19098611 | C2 | semidirect |
| 3. #19098581 | C2 | semidirect |
| 4. #19098545 | C2 | semidirect |
| 5. C2×#14579078 | C2 | semidirect |
| 6. #19098333 | C2 | semidirect |
| 7. #418×C79 | C2 | semidirect |
| 111. C79 | #2048 | semidirect |
| 115. #418 | D79 | semidirect |